On a ${\mathbb C}^2$-valued integral index transform and bilateral hypergeometric series
Classical Analysis and ODEs
2022-04-05 v1 Functional Analysis
Representation Theory
Spectral Theory
Abstract
We discuss the spectral decomposition of the hypergeometric differential operators on the line . Such operators arise in the problem of decomposition of tensor products of unitary representations of the universal covering of the group . Our main purpose is a search of natural bases in generalized eigenspaces and variants of the inversion formula.
Cite
@article{arxiv.2105.10800,
title = {On a ${\mathbb C}^2$-valued integral index transform and bilateral hypergeometric series},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:2105.10800},
year = {2022}
}
Comments
16p